Date: Friday, March 14, 2014
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Electrical Networks and Electrical Lie algebras of classical Lie type
Abstract: CurtisIngermanMorrow studied the space of circular planar electrical networks. Lam and Pylyavskyy introduced an electrical Lie algebra such that the positive part of the electrical Lie group EL_{2n} acts on circular planar electrical networks via some natural combinatorial operations. In this talk, I will present some work towards finding the structure of the electrical Lie algebras of types B, C, D. Then I will introduce mirror symmetric circular planar electrical networks. It turns out that the positive part of electrical Lie algebra of type B may have an action on such networks. I will give some evidence of this by introducing the mirror symmetric square move.
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Speaker: Yi Su
Institution: U. Michigan
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